Question

1. A job is expected to have a learning curve of 90 percent. The third unit required 16 hours. The 12 th unit should take approximately how many hours?

2. Unit times for a job exhibit a learning effect. If the second unit took 30 hours, and the fourth unit took 21 hours, roughly how many hours would you estimate the third unit took?

Answer 1

1)for learinng rate r=0.90

here time for fist unit =T1=T_n/(n)^{log(r)/log(2)} =16/(3)^{log(0.9)/log(2)} =18.9079

hence time for 12th unit =T12=T1*(n)^{log(r)/log(2)} =18.9079*(12)^{log(0.9)/log(2)} =12.96 Hours

2)

here time for 2nd unit T2 =T1*(2)^{log(r)/log(2)} =30 ........(1)

time for 4th unit T4=T1*(4)^{log(r)/log(2)} =21 .........(2)

dividing 1 and 2; and solving

learning rate r=0.7

putting it in equation (1)

T1=42.8571

hence time it took to make 3rd unit =42.8571*(3)^{log(0.7)/log(2)}=24.35 Hours